Abstract
A GIS-based multi-criteria analysis model using the integration of the Choquet integral and game theory is proposed in this paper for seismic vulnerability assessment (SVA). The proposed SVA model is able to take into account the effects of complementary, redundant, and independent criteria. Moreover, the proposed model provides an insight into experts’ preferences using game theory parameters. The application of the proposed model is demonstrated by assessing the seismic vulnerability of Tehran city. Due to the limited accessibility to data, only nine contributing criteria are specified which are associated with physical, social, and systemic vulnerability. Five experts are asked to determine the seismic vulnerability degree of 100 randomly selected urban statistical units. Particle swarm optimization method is then applied to extract fuzzy measures from information provided by the experts. Game theory is also employed to compute the interactions among the criteria and to evaluate the role of each criterion in the decision-making process. Finally, a vulnerability map is produced based on the knowledge of the consensus of the five experts and the results are validated by comparing with the previous models using Spearman’s correlation coefficient method.
Similar content being viewed by others
Notes
HAZards United States.
SEismic Loss EstimatioN using a logic tree Approach.
Japan International Cooperation Agency.
References
Ai B, Ma S, Wang S (2015) Land-use zoning in fast developing coastal area with ACO model for scenario decision-making. Geo-Spat Inf Sci 18(1):43–55
Alinia HS, Delavar M (2011) Tehran’s seismic vulnerability classification using granular computing approach. Appl Geomat 3(4):229–240
Ashtari M, Hatzfeld D, Kamalian N (2005) Microseismicity in the region of Tehran. Tectonophysics 395(3):193–208
Beliakov G, Pradera A, Calvo T (2008) Aggregation functions: A guide for practitioners. Springer, Berlin
Ben Abdelaziz F, Meddeb O (2015) Unstable interaction in multiple criteria decision problems. J Multi-Criteria Decis Anal 22(3–4):167–174
Bird JF, Bommer JJ, Crowley H, Pinho R (2006) Modelling liquefaction-induced building damage in earthquake loss estimation. Soil Dyn Earthq Eng 26(1):15–30
Bojorquez-Tapia LA, Diaz-Mondragon S, Ezcurra E (2001) GIS-based approach for participatory decision making and land suitability assessment. Int J Geogr Inf Sci 15(2):129–151
Boroushaki S, Malczewski J (2010) Using the fuzzy majority approach for GIS-based multicriteria group decision-making. Comput Geosci 36(3):302–312
Chang NB, Parvathinathan G, Breeden JB (2008) Combining GIS with fuzzy multicriteria decision-making for landfill siting in a fast-growing urban region. J Environ Manag 87(1):139–153
Chen Y, Yu J, Khan S (2010) Spatial sensitivity analysis of multi-criteria weights in GIS-based land suitability evaluation. Environ Model Softw 25(12):1582–1591
Choquet G (1953) Theory of capacities. Annales de l’institut Fourier 54:113–153
Debnath R (2013) An assessment of spatio-temporal pattern of urban earthquake vulnerability using GIS: a study on Dhaka City. Ann GIS 19(2):63–78
El-Diraby TE, Kinawy S, Piryonesi SM (2017) A comprehensive review of approaches used by Ontario municipalities to develop road asset management plans. Transportation Research Board (No. 17–00281)
Erden T, Karaman H (2012) Analysis of earthquake parameters to generate hazard maps by integrating AHP and GIS for Küçükçekmece region. Nat Hazards Earth Syst Sci 12(2):475–483
Feizizadeh B, Blaschke T (2014) An uncertainty and sensitivity analysis approach for GIS-based multicriteria landslide susceptibility mapping. Int J Geogr Inf Sci 28(3):610–638
Feng C-M, Wu P-J, Chia K-C (2010) A hybrid fuzzy integral decision-making model for locating manufacturing centers in China: a case study. Eur J Oper Res 200(1):63–73
Ge L, Ng AHM, Li X, Liu Y, Du Z, Liu Q (2015) Near real-time satellite mapping of the 2015 Gorkha earthquake, Nepal. Ann GIS 21(3):175–190
Grabisch M (1995) Fuzzy integral in multicriteria decision making. Fuzzy Sets Syst 69(3):279–298
Grabisch M (2000) A graphical interpretation of the Choquet integral. IEEE Trans Fuzzy Syst 8(5):627–631
Grabisch M, Labreuche C (2010) A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid. Ann Oper Res 175(1):247–286
Grabisch M, Roubens M (2000) Application of the Choquet integral in multicriteria decision making. Fuzzy Meas Integrals 40:348–375
Grabisch M, Sugeno M, Murofushi T (2000) Fuzzy measures and integrals: theory and applications. Springer, New York
Hashemi M, Alesheikh AA, Zolfaghari MR (2013) A spatio-temporal model for probabilistic seismic hazard zonation of Tehran. Comput Geosci 58:8–18
Huang J, Zhou Q, Wang F (2015) Mapping the landslide susceptibility in Lantau Island, Hong Kong, by frequency ratio and logistic regression model. Ann GIS 21(3):191–208
Jankowski P (1995) Integrating geographical information systems and multiple criteria decision-making methods. Int J Geogr Inf Syst 9(3):251–273
Khamespanah F, Delavar MR, Moradi M, Sheikhian H (2016) A GIS-based multi-criteria evaluation framework for uncertainty reduction in earthquake disaster management using granular computing. Geod Cartogr 42(2):58–68
Kircher CA, Whitman RV, Holmes WT (2006) HAZUS earthquake loss estimation methods. Nat Hazards Rev 7(2):45–59
Labreuche C, Grabisch M (2003) The Choquet integral for the aggregation of interval scales in multicriteria decision making. Fuzzy Sets Syst 137(1):11–26
Malczewski J (1999) GIS and multicriteria decision analysis. Wiley, New York
Malczewski J (2006) GIS-based multicriteria decision analysis: a survey of the literature. Int J Geogr Inf Sci 20(7):703–726
Malczewski J, Liu X (2014) Local ordered weighted averaging in GIS-based multicriteria analysis. Ann GIS 20(2):117–129
Malczewski J, Chapman T, Flegel C, Walters D, Shrubsole D, Healy MA (2003) GIS-multicriteria evaluation with ordered weighted averaging (OWA): case study of developing watershed management strategies. Environ Plan A 35(10):1769–1784
Marichal J-L (2004) Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. Eur J Oper Res 155(3):771–791
Marichal J-L (2007) k-intolerant capacities and Choquet integrals. Eur J Oper Res 177(3):1453–1468
Meng Y, Malczewski J, Boroushaki S (2011) A GIS-Based multicriteria decision analysis approach for mapping accessibility patterns of housing development sites: a case study in Canmore, Alberta. J Geogr Inf Syst 3(01):50–61
Molina S, Lang D, Lindholm C (2010) SELENA—an open-source tool for seismic risk and loss assessment using a logic tree computation procedure. Comput Geosci 36(3):257–269
Moradi M, Delavar MR, Moshiri B (2013) Sensitivity analysis of ordered weighted averaging operator in earthquake vulnerability assessment. Int Arch Photogramm Remote Sens Spat Inf Sci 1(3):277–282
Moradi M, Delavar MR, Moshiri B, Khamespanah F (2014) A novel approach to support majority voting in spatial group MCDM using density induced OWA operator for seismic vulnerability assessment. Int Arch Photogramm Remote Sens Spat Inf Sci 40(2):209
Moradi M, Delavar MR, Moshiri B (2015a) A GIS-based multi-criteria decision-making approach for seismic vulnerability assessment using quantifier-guided OWA operator: a case study of Tehran, Iran. Ann GIS 21(3):209–222
Moradi M, Delavar MR, Moradi A (2015b) A GIS-based model for post-earthquake personalized route planning using the integration of evolutionary algorithm and OWA. Int Arch Photogramm Remote Sens Spat Inf Sci 40(1):509
Murofushi T, Sugeno M (1989) An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure. Fuzzy Sets Syst 29(2):201–227
Myerson RB (1991) Game theory: analysis of conflict. Harvard University, Cambridge
Najibi N, Jin S (2013) Physical reflectivity and polarization characteristics for snow and ice-covered surfaces interacting with GPS signals. Remote Sens 5(8):4006–4030
Najibi N, Devineni N, Lu M (2017) Hydroclimate drivers and atmospheric teleconnections of long duration floods: an application to large reservoirs in the Missouri River Basin. Adv Water Resour 100:153–167
Omar MN, Fayek AR (2016) A Topsis-based approach for prioritized aggregation in multi-criteria decision-making problems. J Multi-Criteria Decis Anal 23(5):197–209
Osborne MJ, Rubinstein A (1994) A course in game theory. MIT Press, Cambridge
Panahi M, Rezaie F, Meshkani S (2013) Seismic vulnerability assessment of school buildings in Tehran city based on AHP and GIS. Nat Hazards Earth Syst Sci Discuss 1(5):4511–4538
Peng Y (2015) Regional earthquake vulnerability assessment using a combination of MCDM methods. Ann Oper Res 234(1):95–110
Pensa S, Masala E, Lami IM (2013) Supporting planning processes by the use of dynamic visualisation. In: Planning support systems for sustainable urban development. Springer, Berlin, pp 451–467
Piryonesi SM, Tavakolan M (2017) A mathematical programming model for solving cost-safety optimization (CSO) problems in the maintenance of structures. KSCE J Civ Eng. doi:10.1007/s12205-017-0531-z
Pődör A, Kiszely M (2014) Experimental investigation of visualization methods of earthquake catalogue maps. Geod Cartogr 40(4):156–162
Porter KA, Beck JL, Shaikhutdinov RV (2002) Sensitivity of building loss estimates to major uncertain variables. Earthq Spectra 18(4):719–743
Rashed T, Weeks J (2003) Assessing vulnerability to earthquake hazards through spatial multicriteria analysis of urban areas. Int J Geogr Inf Sci 17(6):547–576
Ruda A (2015) Cartographic visualization of outputs for spatial decision-making in regional development. Geod Cartogr 41(4):174–184
Sadat YK, Nikaein T, Karimipour F (2015) Fuzzy spatial association rule mining to analyze the effect of environmental variables on the risk of allergic asthma prevalence. Geod Cartogr 41(2):101–112
Schneider PJ, Schauer BA (2006) HAZUS—its development and its future. Nat Hazards Rev 7(2):40–44
Shapley LS (1952) A value for N-person games. DTIC document
Sharma VK, Rao GS, Amminedu E, Nagamani PV, Shukla A, Rao KRM, Bhanumurthy V (2016) Event-driven flood management: design and computational modules. Geo-Spat Inf Sci 19(1):39–55
Sisodia PS, Tiwari V, Dahiya AK (2016) Urban Sprawl Monitoring using Remote Sensing and GIS Techniques of the City Jaipur, India. Int J Appl Geospat Res 7(3):93–104
Spence R, Bommer J, del Re D, Bird J, Aydinoğlu N, Tabuchi S (2003) Comparing loss estimation with observed damage: a study of the 1999 Kocaeli earthquake in Turkey. Bull Earthq Eng 1(1):83–113
Stankevičius Ž, Šlikas D, Popovas D (2015) An effective database management of the urban underground facilities and topographic information. Geod Cartogr 41(4):156–161
Tan C, Chen X (2010) Intuitionistic fuzzy Choquet integral operator for multi-criteria decision making. Expert Syst Appl 37(1):149–157
Toprak S, Taskin F (2007) Estimation of earthquake damage to buried pipelines caused by ground shaking. Nat Hazards 40(1):1–24
Walker BB, Taylor-Noonan C, Tabbernor A, Bal H, Bradley D, Schuurman N, Clague JJ (2014) A multi-criteria evaluation model of earthquake vulnerability in Victoria, British Columbia. Nat Hazards 1–14
Wang W, Wang Z, Klir GJ (1998) Genetic algorithms for determining fuzzy measures from data. J Intell Fuzzy Syst 6(2):171–183
Wang XZ, He YL, Dong LC, Zhao HY (2011) Particle swarm optimization for determining fuzzy measures from data. Inf Sci 181(19):4230–4252
Wei G (2009) Some geometric aggregation functions and their application to dynamic multiple attribute decision making in the intuitionistic fuzzy setting. Int J Uncertain Fuzziness Knowl Based Syst 17(02):179–196
Yeh C-H, Loh C-H, Tsai K-C (2006) Overview of Taiwan earthquake loss estimation system. Nat Hazards 37(1–2):23–37
Yurdakul M, Ic YT (2009) Application of correlation test to criteria selection for multi criteria decision making (MCDM) models. Int J Adv Manuf Technol 40(3–4):403–412
Zar JH (1972) Significance testing of the Spearman rank correlation coefficient. J Am Stat As 67(339):578–580
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Moradi, M., Delavar, M.R. & Moshiri, B. A GIS-based multi-criteria analysis model for earthquake vulnerability assessment using Choquet integral and game theory. Nat Hazards 87, 1377–1398 (2017). https://doi.org/10.1007/s11069-017-2822-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11069-017-2822-6